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12131222211300 = 223521123237115187
BaseRepresentation
bin1011000010001000010100…
…1100001100101011100100
31120221201210201211010010110
42300202011030030223210
53042224220341230200
641445001225253020
72361310665264063
oct260420514145344
946851721733113
1012131222211300
113957905750415
12143b141934170
1369cc7a86466a
142dd22351a1da
1516086320ab50
hexb088530cae4

12131222211300 has 144 divisors (see below), whose sum is σ = 35148055991552. Its totient is φ = 3230536003200.

The previous prime is 12131222211271. The next prime is 12131222211301. The reversal of 12131222211300 is 311222213121.

It is not an unprimeable number, because it can be changed into a prime (12131222211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798782307 + ... + 798797493.

Almost surely, 212131222211300 is an apocalyptic number.

12131222211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131222211300 is an abundant number, since it is smaller than the sum of its proper divisors (23016833780252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131222211300 is a wasteful number, since it uses less digits than its factorization.

12131222211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18698 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12131222211300 its reverse (311222213121), we get a palindrome (12442444424421).

The spelling of 12131222211300 in words is "twelve trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1123 2246 2371 3369 4492 4742 5615 6738 7113 9484 11230 11855 13476 14226 15187 16845 22460 23710 28075 28452 30374 33690 35565 45561 47420 56150 59275 60748 67380 71130 75935 84225 91122 112300 118550 142260 151870 168450 177825 182244 227805 237100 303740 336900 355650 379675 455610 711300 759350 911220 1139025 1518700 2278050 2662633 4556100 5325266 7987899 10650532 13313165 15975798 17055001 26626330 31951596 34110002 36008377 39939495 51165003 53252660 66565825 68220004 72016754 79878990 85275005 102330006 108025131 133131650 144033508 159757980 170550010 180041885 199697475 204660012 216050262 255825015 266263300 341100020 360083770 399394950 426375025 432100524 511650030 540125655 720167540 798789900 852750050 900209425 1023300060 1080251310 1279125075 1705500100 1800418850 2160502620 2558250150 2700628275 3600837700 5116500300 5401256550 10802513100 40437407371 80874814742 121312222113 161749629484 202187036855 242624444226 404374073710 485248888452 606561110565 808748147420 1010935184275 1213122221130 2021870368550 2426244442260 3032805552825 4043740737100 6065611105650 12131222211300